True, a circle can be circumscribed about the quadrilateral described in the task content.
What is the condition to circumscribe a circle about a quadrilateral?It follows from the task content that quadrilateral in discuss has angles; 95, 80, 85 and 100.
By convention, it follows that circles can be circumscribed about only cyclic quadrilaterals in which case their opposite angles are supplementary. Hence, since opposite angles of the quadrilateral are supplementary (i.e amount to 180). Then, True, the circle can be circumscribed about the quadrilateral.
Read more on circumscribing circles;
https://brainly.com/question/2699432
#SPJ1
Imagine you want to create a model of Solar system (and beyond) with the Sun
represented by a beach ball of diameter 60 cm = 0.60 m. (i.e. of radius 30 cm = 0.30
m). On that same scale:
What is the diameter of the Milky Way?
And the diameter or Radius of Earth
The diameter of the milky way is given as 4.3 x 10¹¹m while the diameter of the radius of the earth is 0.00276
How to solve for the diameter of the milky wayThe transformed system is given as 23.18 x 10⁸ in real length
Hence the diameter is
10 x 10²⁰ / 23.18 x 10⁸
= 4.3 x 10¹¹ m
How to solve for the diameter of the radius of the earthDistance from the sun to the earth = 1.496 x 10¹¹m
Transformed system = 1.496 x 10¹¹m/23.18 x 10⁸
= 64.5 m
Actual radius = 6.4 x10⁶ / 23.18 x 10⁸
= 0.00276
read more on the milky way here
https://brainly.com/question/13485795
#SPJ1
5 Quick algebra 1 questions for 50 points!
Only answer if you know all 5, Tysm! :)
The equations of the perpendicular lines are: y = 1/2x + 6, y = 15, y = -x - 2, y = 6x + 3 and y = 1/3x - 4
How to determine the equations?When a linear equation is represented as:
Ax + By = C
The slope (m) is:
m = -A/B
When the linear equation is represented as:
y = mx + c
The slope is m
A line perpendicular to a linear equation that has a slope of m would have a slope of -1/m
Using the above highlights, the equations of the lines are:
6. y = -2x + 5; (2, 7)
The slope is:
m = -2
The perpendicular slope is:
n = 1/2
The equation of the perpendicular line is:
y = n(x - x1) + y1
This gives
y = 1/2(x - 2) + 7
Evaluate
y = 1/2x - 1 + 7
This gives
y = 1/2x + 6
7. y = -5; (11, 15)
The slope is:
m = 0
The perpendicular slope is:
n = 1/0 = undefined
The equation of the perpendicular line is:
y = n(x - x1) + y1
This gives
y = 15
8. Graph ; (-12, 10)
The slope is:
m = (y2 - y1)/(x2 - x1)
Using the points on the graph, we have:
m = (2 - 3)/(3 - 4)
m = 1
The perpendicular slope is:
n = -1
The equation of the perpendicular line is:
y = n(x - x1) + y1
This gives
y = -1(x + 12) + 10
y = -x - 12 + 10
Evaluate
y = -x - 2
9. y = -1/6x + 1; (-2, -9)
The slope is:
m = -1/6
The perpendicular slope is:
n = 6
The equation of the perpendicular line is:
y = n(x - x1) + y1
This gives
y = 6(x + 2) - 9
Evaluate
y = 6x + 12 - 9
This gives
y = 6x + 3
10. 6x + 2y = 14; (12, 0)
The slope is:
m = -6/2
m = -3
The perpendicular slope is:
n = 1/3
The equation of the perpendicular line is:
y = n(x - x1) + y1
This gives
y = 1/3(x - 12) + 0
Evaluate
y = 1/3x - 4
Hence, the equations of the perpendicular lines are: y = 1/2x + 6, y = 15, y = -x - 2, y = 6x + 3 and y = 1/3x - 4
Read more about linear equations at:
https://brainly.com/question/13763238
#SPJ1
Write the decimal as a fraction.
0.12
Answer:
3/25
Step-by-step explanation:
0.12=12/100
12/100 can be simplified 6/50 = 3/25
Explain the different ways you can name an angle how can you determine if two triangles are similar
Answer:
angle angle theorem.
Step-by-step explanation:
If you want to determine whether a few angles are similar you can use formulas such as SAS AAA ASA etc.
this means
side angle side
angle angle anlge
angle side angle
If the dimensions of the prism below were doubled, by what factor would the of the prism increase?
Answer:
probably c
Step-by-step explanation:
How many sides has a regular polygon if it's interior angles are:144 each, 135 each
The measure of each interior angle of a regular polygon is [tex]\frac{180(n-2)}{n}[/tex] degrees, where n is the number of sides.
Question 1
[tex]144=\frac{180(n-2)}{n}\\\\144n=180(n-2)\\\\144n=180n-360\\\\-36n=-360\\\\n=10 \text{ sides}[/tex]
Question 2
[tex]\frac{180(n-2)}{n}=135\\\\180(n-2)=135n\\\\180n-360=135n\\\\-360=-45n\\\\n=8 \text{ sides}[/tex]
Verify csc^2t-cos t sect= cot^2 t
Rewriting the left hand side,
csc²t - cost sec t
= (1/sin²t)-(cost)(1/cost)
= 1/sin²t - 1
= 1/sin²t - sin²t/sin²t
= (1-sin²t)/sin²t
= cos²t/sin²t
= cot²t
What has to be true for the triangles to be congruent?
Answer:
Step-by-step explanation:
Argument
I think the answer is A = N or D. It that is true, then M = C because all three angles are equal which gives similarity. But there is a side involved. OM = CB. Therefore the two triangles are congruent by ASA
Answer
ASA
The roots of the quadratic function describing the relationship between number of products produced and overall profit margin are x=0 and 28. The vertex is a minimum at (14,−40).
the quadratic equation is:
y = 0.2*x*(x - 28)
How to find the quadratic equation?
If we know that the roots are J and K, and the leading coefficient is a, then the quadratic equation is:
y = a*(x - K)*(x - J)
Here we know that the roots are at x = 0 and x =28, then:
y = a*(x - 0)*(x - 28).
We also know that the vertex is a minimum, so a is positive, and we know that the vertex is (14, -40), then we have:
-40 = a*(14)*(14 - 24) = -a*196
a = 40/196 = 0.20
Then the quadratic equation is:
y = 0.2*x*(x - 28)
If you want to learn more about quadratic equations:
https://brainly.com/question/1214333
#SPJ1
What is the probability of obtaining in a row when flipping a coin?.
There are 50-50 chances that you will get a head or a tail
Lori wants to design a computer simulation to study how many spins it takes to land on each color once there are 4 colors on the wheel using the digits 0 through 9 she will assign a digit to each section of the wheel which option describes how the digits can be assigned
Answer:
The number of ways in which the digits can be assigned in the color wheel can be determined by the permutation of 8 taken 4 since it is in circular formation and whichever comes first is not important.
number of ways = 9P4 = 3024 ways
Dan's Dependable Delivery Given the following information calculate Dan’s Dependable Delivery’s debt ratio for two consecutive years. Show your calculations using Excel formulas. After the calculations, write a short message to Dan explaining what the ratios mean. Is there improvement? Current year Last year Total Assets $3,750,250 $3,590,750 Total liabilities $1,500,250 $1,470,000 Debt Ratio for the current year Debt Ratio for last year Message to Dan below:
Current year's debt ratio is 2.50
Last year's debt ratio is 2.44
Compute Dan's Dependable Delivery debt ratio for two consecutive years?
The debt ratio is the total liabilities divided by the total assets
The debt ratio for the current year = 2.50
The debt ratio for last year =2.44(find attached excel file and formula sheet)
Debt ratio means the portion of the firm's total assets funded using borrowing(external funding), the lower the ratio, the better since having a higher debt means a higher interest would be paid, the higher the debt, the higher the chance of the firm defaulting on paying interest and repaying the principal borrowed.
The fact that the debt ratio has increased in the current year, means that the ratio has worsened because more debt has been taken.
https://brainly.com/question/21406342
#SPJ1
Work out 2 1 2 − 1 2 7 Give your answer as a mixed number where appropriate.
Answer:
185 when we subtract 212-127 it gives 185 thanks for the seeing image
There were three parts to Rita's race. She ran the first part, which was 4/9
of the total distance, in 20 minutes. She ran the second part, which was 2/5
of the remaining distance, in 12 minutes. She finally ran the third part in 15 minutes at a speed of 300 meter per minute.
How long was the second part of the race? What was Rita's speed in that section of the race?
Hello!
d₁ = distance covered in Part 1
d₂ = distance covered in Part 2
d₃ = distance covered in Part 3
Distance in Part 2 :
⇒ d₃ = 15 x 300 = 4500 m
⇒ d₂ = 2/5d₃
⇒ d₂ = 2/5 x 4500
⇒ d₂ = 1800 meters
Speed in Part 2 :
⇒ v₂ = 1800 m / 12 min
⇒ v₂ = 150 meters per minute
this hyperbola is centered at the origin find its equation
foci: (-2,0) and (2,0)
vertices: (-1,0) and (1,0)
The equation of the hyperbola with foci (-2, 0), (2, 0), and vertices, (-1, 0), (1, 0) is [tex] \underline{\frac{ {x}^{2} }{ {1}^{2} } - \frac{ {y}^{2} }{ 3} } = 1[/tex]
Which method is used to find the equation of the parabola?The general form of the equation of an hyperbola is presented as follows;
[tex] \frac{ {x}^{2} }{ {a}^{2} } - \frac{ {y}^{2} }{ {b}^{2} } = 1[/tex]
Where a is obtained from the vertex written as (-a, 0), (a, 0)
The given vertex are (-1, 0), (1, 0), which gives;
a = 1
The general form of the foci of a hyperbola are; (-c, 0), (c, 0)
The given foci of the hyperbola are; (-2, 0), (2, 0)
Where;
c² = a² + b²Therefore;
b² = c² - a²By comparison, we have;
c² = 2²
Which gives;
b² = 2² - 1² = 3The equation of the hyperbola is therefore;
[tex] \underline{\frac{ {x}^{2} }{ {1}^{2} } - \frac{ {y}^{2} }{ 3} } = 1[/tex]
Learn more about the equation of a hyperbola here:
https://brainly.com/question/13003184
#SPJ1
Simplify the following expression.
Answer:
-70x, 26y^3, -3z
Step-by-step explanation:
The way to solve this is by combining like terms. The terms we have given to us include x, y^3, and z. As a result, we will group terms based on these variables.
1. Find all the terms with each variable.
* -35x, -35x
* 23y^3, 3y^3
* -3z
2. Combine like terms.
* -35x + (-35x) = -35x - 35x = -70x
* 23y^3 + 3y^3 = 26y^3
* -3z + 0 = -3z
Answer:
Hello! The answer is: [tex]-70x - 3z + 26y^3[/tex]
Step-by-step explanation:
First, rearrange to combine like terms:
[tex]-35x - 35x - 3z + 23y^3 + 3y^3[/tex]
Now, combine like terms:
[tex]-70x - 3z + 26y^3[/tex]
A diagonal of a cube measures StartRoot 294 EndRoot cm. The diagonal of a face measures 14 cm. What is the length of an edge of the cube? Round to the nearest tenth of a centimeter.
The side of the edge of the cube is 9. 9cm
How to determine the length
Given that the diagonal of a cube measures the square root of 294cm and the diagonal of a face measures 14cm
To find the edge of the face, we know that the face of the cube is a square
Formula for diagonal of a square = [tex]\sqrt{2a}[/tex]
Where is the side of the square
We then have,
[tex]\sqrt{2a} = 14[/tex]
Make 'a' the subject
a = [tex]\frac{14}{\sqrt{2} }[/tex]
Simplify the surd
a = [tex]\frac{14}{\sqrt{2} }[/tex] × [tex]\frac{14}{\sqrt{2} }[/tex]
a = [tex]\frac{14\sqrt{2} }{2}[/tex]
a = [tex]7\sqrt{2}[/tex]
a = 9. 9cm
Therefore, the side of the edge of the cube is 9. 9cm
Learn more about a cube here:
https://brainly.com/question/1972490
#SPJ1
Answer: Its 9.8 cm
Step-by-step explanation: I said so
please help i dont get it
Answer:
78.5
Step-by-step explanation:
pi(r^2)
3.14(5^2)
3.14(25)
78.5
pls kindly see the attached picture for the answer and explanation thank you
Compare the graphs f(x)=(x-10)^2+8 with the graph of f(x)=x^2
Yea
Answer:
b. The graph of g(x) is a translation 10 units right and 8 units up from the graph of f(x).
Step-by-step explanation:
See attached image.
A line of a slope 1/4 and passes through the point (0.2,4/5)
Find the value of b, the y-intercept.
The y-intercept of the line is 0.75 or 3/4
How to determine the y-intercept?The given parameters are:
Slope, m = 1/4
Point (x, y) = (0.2, 4/5)
A linear equation is represented as:
y = mx + b
This gives
4/5 = 1/4 * 0.2 + b
Evaluate the product
4/5 = 0.05 + b
Subtract 0.05 from both sides
b = 0.75
Hence, the y-intercept of the line is 0.75 or 3/4
Read more about linear equations at
https://brainly.com/question/1884491
#SPJ1
WILL GIVE BRAINLIEST! PLEASE HELP FAST!!
A) The function ƒ(x) has a steeper slope than g(x).
B) The functions ƒ(x) and g(x) have the same slope.
C) The function g(x) has a steeper slope than ƒ(x).
D) There isn't enough information to determine which function has a steeper slope.
[tex]m = \frac{ - 5 - 4}{3 - 0} = \frac{ - 9}{3} = - 3[/tex]
[tex]g(x) = - 3x + 4[/tex]
C)[tex]g(x) \: ha s \: a \: steeper \: slope[/tex]
What is the simplified form of 4 log3y - 6 log3x + 7 log3z?
[tex] \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star[/tex]
[ b ] is the Correct one
[tex]\textsf{ \underline{\underline{Steps to solve the problem} }:}[/tex]
[tex] \qquad❖ \: \sf \:4 \: log_{3}(y) - 6 \: log_{3}(x) + 7 \: log_{3}(z) [/tex]
[tex] \qquad❖ \: \sf \: \: log_{3}(y {}^{4} ) - \: log_{3}(x {}^{6} ) +\: log_{3}(z {}^{7} ) [/tex]
[tex] \qquad❖ \: \sf \: \: log_{3}(y {}^{4} ) + \: log_{3}(z{}^{7} ) - \: log_{3}(x {}^{6} ) [/tex]
([tex] \sf a\: log (b) = log {b}^{a}[/tex])
[tex] \qquad❖ \: \sf \: log_{3}( {y}^{4} {z}^{7} ) - log_{3}( {x}^{6} {}^{} ) [/tex]
([tex] \sf{log (a) + log (b) = log (ab)} [/tex])
[tex] \qquad❖ \: \sf \: log_{3} \bigg( \dfrac{y {}^{4} {z}^{7} }{ {x}^{6} } \bigg ) [/tex]
([tex] \sf{log (a) - log (b) = log (a/b)} [/tex])
[tex] \qquad \large \sf {Conclusion} : [/tex]
[ b ] is the Correct choice
You have a total of 16 coins, all quarters and dimes. The total value is $3.10. Which
of the following is the system of linear equations that represent this scenario? Let q =
the number of quarters and let d = the number dimes.
The system of linear equations that represents this scenario is: q + d = 16
0.25q + 0.10d = 3.10
To represent the scenario described, we can set up a system of linear equations using the given variables:
Let q represent the number of quarters.
Let d represent the number of dimes.
We are given two conditions:
1) The total number of coins is 16:
q + d = 16
2) The total value of the coins is $3.10:
0.25q + 0.10d = 3.10
Therefore, the system of linear equations that represents this scenario is:
q + d = 16
0.25q + 0.10d = 3.10
Learn more about Linear equations here:
https://brainly.com/question/32634451?
#SPJ2
Triangle MRN is created when an equilateral triangle is folded in half.
Triangle N R M is shown. Angle N R M is a right angle. An altitude is drawn from point R to point S on side M N to form a right angle. The length of N S is 6, the length of S M is 2, the length of R M is x, the length of N R is y, and the length of R S is z.
What is the value of y?
2 StartRoot 3 EndRoot units
4 units
4 StartRoot 3 EndRoot units
8 units
Answer:
4 units
Step-by-step explanation:
need help finding this C measure
Answer:
<C = 45 degrees.
Step-by-step explanation:
This is a right triangle (indicated by the square representing <A). All angles in a triangle add up to 180 degrees
180 - 90 is 90. Knowing that there are only two angles left, you can divide 90 by 2, resulting in 45.
<C = 45.
A princess has two pet dragons. The dragons can eat 300kg of chocolate in 12 days. How many days will the same 300kg last if got 4 more dragons for her birthday?
The chocolate will last for 1 day, if she gets 4 more dragons
How to determine the number of days?The expression can be represented using the following ratio:
Ratio = Dragons : Days : Chocolate
For the 2 dragons she has, we have:
Ratio = 2 : 12 : 300
When she gets 4 more dragons, we have:
Ratio = 6 : days : 300
Equate both ratios
6 : days = 12 : 2
Express as fraction
days/6 = 2/12
Multiply both sides by 6
days = 6 * 2/12
Evaluate
days = 1
Hence, the chocolate will last for 1 day
Read more about ratios at:
https://brainly.com/question/2328454
#SPJ1
Help please!!!
Determine the domain and range of each function.
31.
32.
a + c = 405
12a + 5c = $3,590
Answer:
a=223.57
c=181.43
Step-by-step explanation:
a=405-c
substitute for a in the equation :
12a+5c=3590
12(405-c)+5c=3590
4860-12c+5c=3590
-7c=3590-4860
-7c=-1270
c=1270/7=181.43
a=405-1270/7
a=1565/7=223.57
What is the multiplicative rate of change of the function?
0.2
0.25
0.5
0.75
The multiplicative rate of change of the function will be 0.5. Then the correct option is C.
What is an exponent?Let b is the base and x is the power of the exponent function and a is the leading coefficient. The exponent is given as
y = a(b)ˣ
The missing table is attached below.
For x = 2, y will be 0.125
0.125 = ab² ...1
For x = 3, y will be 0.0625
0.0625 = ab³ ...2
Divide equation 2 by equation 1, we have
b = 0.0625 / 0.125
b = 0.5
Then the correct option is C.
More about the exponent link is given below.
https://brainly.com/question/5497425
#SPJ1
In this figure, AB || CD & m<6 =75 degrees
What is m<3?
Answer:
∠ 3 = 105°
Step-by-step explanation:
∠ 3 and ∠ 6 are same- side interior angles and sum to 180° , that is
∠ 3 + ∠ 6 = 180°
∠ 3 + 75° = 180° ( subtract 75° from both sides )
∠ 3 = 105°